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Internet Resources for Advanced Discrete Mathematics
This list contains some of the best resources for advanced discrete
mathematics. For a more exhaustive list, or to find materials that fit your specific
needs, see also the Forum's Internet Mathematics Library:
Discrete Mathematics.
 arXiv.org ePrint archive
 Los Alamos National Laboratory (LANL)

A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg,
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 CO Combinatorics (Front for the Mathematics ArXiv)
 Univ. of California, Davis

Combinatorics preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has
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 Combinatorial Geometry (The Geometry Junkyard)
 David Eppstein, Theory Group, ICS, UC Irvine

An extensive annotated list of links to material consisting of problems in which one starts with a geometric figure (say a polytope) but then
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 Combinatorial Object Server (COS)
 Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada

Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation
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 A compendium of NP optimization problems
 Crescenzi & Kann

A continuously updated catalog of approximability results for NP optimization problems. Because no NPcomplete problem can be solved in polynomial
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 DIMACS
 Rutgers & Princeton Universities, AT&T Bell Labs, BellCore

The Center for Discrete Mathematics and Theoretical Computer Science, an NSF Science and Technology Center. DIMACS is devoted to the development of
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 Electronic Journal of Combinatorics
 McKay, Wilf, Eds.

A refereed allelectronic journal that welcomes papers in all branches of discrete mathematics, including all kinds of combinatorics, graph theory,
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 The Four Color Theorem
 Robertson, Sanders, Seymour, Thomas; Georgia Tech

A brief summary of a new proof of the Four Color Theorem, with a fourcoloring algorithm found by Neil Robertson, Daniel P. Sanders, Paul Seymour and
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 The Kepler Conjecture
 Thomas C. Hales, Samuel P. Ferguson

The authors claim to have proved the Kepler Conjecture, that no packing of equalsized spheres in space can have greater density than that of the
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 Lattice Theory and Geometry of Numbers (The Geometry Junkyard)
 David Eppstein, Theory Group, ICS, UC Irvine

An extensive annotated list of links to material on lattices. A lattice is an infinite arrangement of points spaced with sufficient regularity that
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 Mathematics Journals: Electronic and Printed
 Mathematics Dept., Penn State University

Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and
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 NEOS Guide (NetworkEnabled Optimization System)
 The Optimization Technology Center

A thumbnail sketch, outlines of the major algorithms, and pointers to software packages on optimization and its various subdisciplines: integer
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 The Roman Press, Inc.
 Steven Roman

Home page of a California mathematics professor, including research articles, books and textbooks, and
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 The Stony Brook Algorithm Repository
 Steven S. Skiena; Dept. of Computer Science, SUNYStony Brook

A comprehensive collection of algorithm implementations for over seventy of the most fundamental problems in combinatorial algorithms. The problem
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 For more, search or browse
Discrete Mathematics in the Forum's Internet Mathematics Library.
